Analysis and Optimization of the Chemostat Model with a Lateral Diffusive Compartment

María Crespo () and Alain Rapaport ()
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María Crespo: Universidad Politécnica de Madrid
Alain Rapaport: Université Montpellier

Journal of Optimization Theory and Applications, 2020, vol. 185, issue 2, No 15, 597-621

Abstract: Abstract We consider the chemostat model with a side compartment connected by pure diffusion, and analyze its asymptotic properties. We investigate conditions under which this spatial structure is beneficial for species survival and conversion yield, compared to single chemostat. Under these conditions, we study the optimization problem for the best structure (volume distribution and diffusion rate), which minimizes the volume required to attain a desired conversion yield. The analysis reveals that particular configurations with a single tank connected by diffusion to the input stream can be the most efficient.

Keywords: Chemostat model; Compartments; Stability; Conversion yield; Optimal design; 34D05; 34D23; 49K15; 92E20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10957-020-01665-2

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